10/3 minus 12/5 as a fraction
10/3 - 12/5 as a fraction provides the detailed information about what is 10/3 minus 12/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
10/3-12/5 equals to
10/3 - 12/5 = (?)
10/3 - 12/5 = [(10 x 5) - (12 x 3)]/(3 x 5)
= (50 - 36)/15
= 14/15
10/3 - 12/5 = 14/15
10/3 minus 12/5 is equal to 14/15
where
10/3 is a fraction as a minuend,
12/5 is a fraction as a subtrahend,
14/15 is the difference between 10/3 and 12/5.
10/3 minus 12/5 as a decimal
10/3 - 12/5 = 14/15
14/15 = 0.9333
10/3-12/5 as a decimal is 0.9333
where
0.9333 is the difference between 10/3 and 12/5.
How-to: 10/3 - 12/5 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 10/3 minus 12/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 12/5
What to be found?
10/3-12/5 = ?
Find what's the difference between 10/3 and 12/5.
step 2 Compare the denominators of fractions 10/3 and 12/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/3 and 12/5 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 10/3 and 12/5:
The LCM of 3 and 5 is 15.
step 4 Write the fractions 10/3 and 12/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=10/3-12/5
=(10 x 15)/(3 x 15)-(12 x 15)/(5 x 15)
step 5 Simplify the expression to have common denominator:
=50/15-36/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (50/1-36/1)
=1/15 x (50 - 36)
step 7Simplify the above expression further:
=1/15 x 14
=14/15
10/3-12/5=14/15
Hence,
10/3 minus 12/5 equals to 14/15 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 12/5
What to be found?
10/3-12/5 = ?
Find what's the difference between 10/3 and 12/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 5), find the product of numerator of Fraction B and denominator of Fraction A (12 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
= (10 x 5) - (12 x 3)/(3 x 5)
step 3 Simplify and rewrite the fraction:
= (50 - 36)/15
10/3-12/5 = 14/15
Hence,
10/3 minus 12/5 = 14/15
